5. Write a program that computes the spherical distance between two points on the surface of the Earth, given their latitudes and longitudes. This is a useful operation because it tells you how far apart two cities are if you multiply the distance by the radius of the Earth, which is roughly 6372.795 km. Let p1, A1, and y2, A2 be the latitude and longitude of two points, respectively. AA, the longitudinal difference, and Ao, the angular difference/distance in radians, can be determined as follows from the spherical law of cosines: Ao = arccos(sino1sino2 + cosY2cosY2Cos AX) For example, consider the latitude and longitude of two major cities: - Nashville, TN: N 36°7.2/, W 86°40.2/ · Los Angeles, CA: N 33°56.4/, W 118°24.0/ You must convert these coordinates to radians before you can use them effectively in the formula. After conversion, the coordinates become • Nashville: 41 = 36. 12° = 0.6304 rad, A1 = -86. 67° = -1.5127 rad - Los Angeles: 92 = 33.94° = 0.5924 rad, A, = -118. 40° = -2.0665 rad Using these values in the angular distance equation, you get rAo = 6372.795 × 0.45306 = 2887.259 km Thus, the distance between these cities is about 2887 km, or 1794 miles. (Note: To solve this problem, you will need to use the Math.acos method, which returns an arccosine angle in radians.)
5. Write a program that computes the spherical distance between two points on the surface of the Earth, given their latitudes and longitudes. This is a useful operation because it tells you how far apart two cities are if you multiply the distance by the radius of the Earth, which is roughly 6372.795 km. Let p1, A1, and y2, A2 be the latitude and longitude of two points, respectively. AA, the longitudinal difference, and Ao, the angular difference/distance in radians, can be determined as follows from the spherical law of cosines: Ao = arccos(sino1sino2 + cosY2cosY2Cos AX) For example, consider the latitude and longitude of two major cities: - Nashville, TN: N 36°7.2/, W 86°40.2/ · Los Angeles, CA: N 33°56.4/, W 118°24.0/ You must convert these coordinates to radians before you can use them effectively in the formula. After conversion, the coordinates become • Nashville: 41 = 36. 12° = 0.6304 rad, A1 = -86. 67° = -1.5127 rad - Los Angeles: 92 = 33.94° = 0.5924 rad, A, = -118. 40° = -2.0665 rad Using these values in the angular distance equation, you get rAo = 6372.795 × 0.45306 = 2887.259 km Thus, the distance between these cities is about 2887 km, or 1794 miles. (Note: To solve this problem, you will need to use the Math.acos method, which returns an arccosine angle in radians.)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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How do you do #5? Java
Transcribed Image Text:5. Write a program that computes the spherical distance between two points on the surface of the Earth, given their latitudes
and longitudes. This is a useful operation because it tells you how far apart two cities are if you multiply the distance by
the radius of the Earth, which is roughly 6372.795 km.
Let y1, A1, and P2, d2 be the latitude and longitude of two points, respectively. AX, the longitudinal difference, and Ao,
the angular difference/distance in radians, can be determined as follows from the spherical law of cosines:
Ao =
arccos(sing,siný2 + cosy¿cosP2COs AX)
For example, consider the latitude and longitude of two major cities:
• Nashville, TN: N 36°7.2/, W 86°40.2/
· Los Angeles, CA: N 33°56.4/, W 118°24.0/
You must convert these coordinates to radians before you can use them effectively in the formula. After conversion, the
coordinates become
• Nashville: 91 = 36. 12° = 0.6304 rad, A¡ = -86. 67° = –1.5127 rad
· Los Angeles: P2 = 33. 94° = 0.5924 rad, A, = -118.40° = -2.0665 rad
Using these values in the angular distance equation, you get
rAo = 6372.795 × 0.45306 = 2887.259 km
Thus, the distance between these cities is about 2887 km, or 1794 miles. (Note: To solve this problem, you will need to
use the Math.acos method, which returns an arccosine angle in radians.)
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